q2-dependence of meson mixing in few-body charge symmetry breaking. π0-η mixing to one loop in chiral perturbation theory

1992/11/10 by Kim Maltman · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1016/0370-2693(93)91213-7

14 pages

arxiv created 1992/11/10 · openalex publication_date 1993/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

It is pointed out that the meson mixing matrix elements usually considered responsible for the bulk of the observed few-body charge symmetry breaking are naturally q²-dependent in QCD. For π^o-η mixing, using the usual representation of the pseudoscalar fields, the leading q² dependence can be explicitly calculated using chiral perturbation theory to one loop, the result being a significant decrease in the magnitude of the matrix element in going from timelike to spacelike values of q². Since it is the latter range of q² which is relevant to NN scattering and the few-body bound state, this result calls into serious question the standard treatment of few-body charge symmetry breaking contributions associated with π^o-η and ρ-ω mixing.

Citations

• Chiral perturbation theory: Expansions in the mass of the strange quark
• Structure of Phenomenological Lagrangians. I
• Quark masses

Cited by

• Charge symmetry breaking via ϱω mixing from model quark-gluon dynamics
• Two model-independent results for the momentum dependence of ϱ-ω mixing
• Isospin-violating meson-nucleon vertices as an alternate mechanism of charge-symmetry breaking